578640 has 40 divisors (see below), whose sum is σ = 1794528. Its totient is φ = 154240.

The previous prime is 578621. The next prime is 578647. The reversal of 578640 is 46875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 578598 and 578607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966 + ... + 1445.

2⁵⁷⁸⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

578640 is an abundant number, since it is smaller than the sum of its proper divisors (1215888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

578640 is a wasteful number, since it uses less digits than its factorization.

578640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 578640 is about 760.6839028138. The cubic root of 578640 is about 83.3302754433.

The spelling of 578640 in words is "five hundred seventy-eight thousand, six hundred forty".